GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
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#W stabchain.tst GAP library Markus Pfeiffer
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## Test orbit algorithms, which use hashing
## Exclude from testinstall.g: why?
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gap> START_TEST("stabchain.tst");
gap> G := SymmetricGroup(10);;
gap> Size(G);
3628800
gap> S := StabChain(G, [1,2,3,4,5,6,7,8,9]);;
gap> it := IteratorStabChain(S);;
gap> NextIterator(it);
()
gap> NextIterator(it);
(9,10)
gap> NextIterator(it);
(8,10)
gap> it2 := ShallowCopy(it);;
gap> NextIterator(it2);; b := NextIterator(it2);;
gap> NextIterator(it);; a := NextIterator(it);;
gap> a = b;
true
gap> while not IsDoneIterator(it) do NextIterator(it); od;;
gap> l := List(it2);;
gap> Length(l);
3628795
gap> STOP_TEST( "stabchain.tst", 118330000);
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#E